6012900 has 144 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 1497600.

The previous prime is 6012899. The next prime is 6013013. The reversal of 6012900 is 92106.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45835 + ... + 45965.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^6012900 is an apocalyptic number.

6012900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

6012900 is an abundant number, since it is smaller than the sum of its proper divisors (14610780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6012900 is a wasteful number, since it uses less digits than its factorization.

6012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 6012900 is about 2452.1215304303. The cubic root of 6012900 is about 181.8421930410.

The spelling of 6012900 in words is "six million, twelve thousand, nine hundred".